Proceedings of the 18th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Resolution adaptive volume sculpting
Graphical Models - Volume modeling
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Interactive Implicit Modeling with Hierarchical Spatial Caching
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Implicit curve and surface design using smooth unit step functions
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
ACM SIGGRAPH 2007 papers
Technical Section: Sketch-based modeling: A survey
Computers and Graphics
Technical Section: Locally restricted blending of Blobtrees
Computers and Graphics
Sketching Variational Hermite-RBF implicits
Proceedings of the Seventh Sketch-Based Interfaces and Modeling Symposium
Data structures for interactive high resolution level-set surface editing
Proceedings of Graphics Interface 2011
A local level-set method using a hash table data structure
Journal of Computational Physics
A gradient-based implicit blend
ACM Transactions on Graphics (TOG)
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Recent advances in implicit surface modeling now provide highly controllable blending effects. These effects rely on the field functions of R^3-R in which the implicit surfaces are defined. In these fields, there is an outside part in which blending is defined and an inside part. The implicit surface is the interface between these two parts. As recent operators often focus on blending, most efforts have been made on the outer part of field functions and little attention has been paid on the inner part. Yet, the inner fields are important as soon as difference and intersection operators are used. This makes its quality as crucial as the quality of the outside. In this paper, we analyze these shortcomings, and deduce new constraints on field functions such that differences and intersections can be seamlessly applied without introducing discontinuities or field distortions. In particular, we show how to adapt state of the art gradient-based union and blending operators to our new constraints. Our approach enables a precise control of the shape of both the inner or outer field boundaries. We also introduce a new set of asymmetric operators tailored for the modeling of fine details while preserving the integrity of the resulting fields.